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116567665366131 = 3276153815636957
BaseRepresentation
bin11010100000010010000110…
…010010010101010001110011
3120021201202112000121210112100
4122200102012102111101303
5110234321034313204011
61051530240213431443
733360510262160340
oct3240220622252163
9507652460553470
10116567665366131
1134162084206131
12110a771733b583
13500738c3162b5
1420adc958837c7
15d722d497ad56
hex6a0486495473

116567665366131 has 48 divisors (see below), whose sum is σ = 195620120100288. Its totient is φ = 65505938284800.

The previous prime is 116567665366127. The next prime is 116567665366153. The reversal of 116567665366131 is 131663566765611.

116567665366131 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 7 + 6 + 6 + 5 + 3 + 6 + 613 + 1 = 666.

It is not a de Polignac number, because 116567665366131 - 22 = 116567665366127 is a prime.

It is a super-2 number, since 2×1165676653661312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (116567665386131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17860705 + ... + 23497661.

It is an arithmetic number, because the mean of its divisors is an integer number (4075419168756).

Almost surely, 2116567665366131 is an apocalyptic number.

116567665366131 is a deficient number, since it is larger than the sum of its proper divisors (79052454734157).

116567665366131 is a wasteful number, since it uses less digits than its factorization.

116567665366131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642412 (or 5642409 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 116567665366131 in words is "one hundred sixteen trillion, five hundred sixty-seven billion, six hundred sixty-five million, three hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 5381 16143 37667 48429 113001 328241 339003 984723 2297687 2954169 5636957 6893061 16910871 20679183 39458699 50732613 118376097 343854377 355128291 1031563131 2406980639 3094689393 7220941917 21662825751 30332465617 90997396851 212327259319 272992190553 636981777957 1850280402637 1910945333871 5550841207911 12951962818459 16652523623733 38855888455377 116567665366131